2534416820 has 48 divisors (see below), whose sum is σ = 5760892368. Its totient is φ = 931015680.

The previous prime is 2534416813. The next prime is 2534416823. The reversal of 2534416820 is 286144352.

It can be written as a sum of positive squares in 8 ways, for example, as 55771024 + 2478645796 = 7468^2 + 49786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534416823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26480 + ... + 75960.

It is an arithmetic number, because the mean of its divisors is an integer number (120018591).

Almost surely, 2^2534416820 is an apocalyptic number.

2534416820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880446184).

2534416820 is an abundant number, since it is smaller than the sum of its proper divisors (3226475548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2534416820 is a wasteful number, since it uses less digits than its factorization.

2534416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49700 (or 49698 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2534416820 is about 50342.9917664813. The cubic root of 2534416820 is about 1363.4085528421.

The spelling of 2534416820 in words is "two billion, five hundred thirty-four million, four hundred sixteen thousand, eight hundred twenty".